The forbidden symmetry of Penrose tiles and quasicrystals.
In this terrific essay by Marina Benjamin on the scientific and mathematical quest for ever-more dimensions, she offers this lovely insight into the mind-altering effects that the art of Giotto and Uccello must’ve had on their medieval audience:
By consciously exploring geometric principles, these painters gradually learned how to construct images of objects in three-dimensional space. In the process, they reprogrammed European minds to see space in a Euclidean fashion.
In a very literal fashion, perspectival representation was a form of virtual reality that, like today’s VR games, aimed to give viewers the illusion that they had been transported into geometrically coherent and psychologically convincing other worlds.
A web book with interactive code examples.
How can we capture the unpredictable evolutionary and emergent properties of nature in software? How can understanding the mathematical principles behind our physical world help us to create digital worlds? This book focuses on the programming strategies and techniques behind computer simulations of natural systems using Processing.
Beyond Curie is a design project that highlights badass women in science, technology, engineering + mathematics.
A very very in-depth look at fluid typography in CSS using
A detailed history of Babbage and Lovelace through the lens of Wolfram’s work today:
Ada seems to have understood with some clarity the traditional view of programming: that we engineer programs to do things we know how to do. But she also notes that in actually putting “the truths and the formulae of analysis” into a form amenable to the engine, “the nature of many subjects in that science are necessarily thrown into new lights, and more profoundly investigated.” In other words—as I often point out—actually programming something inevitably lets one do more exploration of it.
If this piques your interest, I highly recommend the Babbage biography The Cogwheel Brain by Doron Swade.
Solving the city.
A beautiful piece of musical mathematical poetry.
Equations to live by.
There's no such thing as a good CAPTCHA but if there were, these would be ...Best. CAPTCHAs. Ever!
A seasonal twist on the lottery card is withdrawn because people don't understand how negative numbers work. "I phoned Camelot and they fobbed me off with some story that -6 is higher – not lower – than -8 but I'm not having it."
Simon Singh talks about zero, pi, the golden ratio, the square root of minus one, and infinity.